For this case we have the following functions:
By definition we have to:
So:
By definition, the domain of a function is given by the values for which the function is defined.
The domain of m(x) is given by all reals except 1.
The domain of n(x) is given by all reals.
While the domain of is given by:
All reals, except the 1. With , the denominator is 0 and the function is no longer defined.
Answer:
Domain of is given by all reals except 1.
Answer: The correct option is second, i.e., x>0.
Explanation:
As we know that the domain is the set of all possible inputs. If function is defined as, f(x) then all possible value of x for which the function f(x) is defined is called domain.
In a graph the domain is defined on the x axis and the range of the function is defined on y-axis.
In the given graph the function is defined from x=0 to because for
the graph is not defined. It means for
the function is not defined.
Sicen the graph is defined for all positive values of x, therefore the domain of the function is al real number greater than 0. It can be written as x>0 and the second option is correct.
